In order to compute the SINR, the power in the received signal is calculated conditioned on the knowledge of the estimates [1]}.
Since MMSE estimates are employed, all three estimates are uncorrelated with the channel estimation error, and thus \(T_2\)  is uncorrelated with \(T_1\) .
The additive noise is uncorrelated with the signal, and since the users' data signals are independent, \(T_3\)  is uncorrelated with the other terms.
Thus, all four components in the received signal are uncorrelated and the total power is the sum of the powers of the individual components
\(\mathbb {E}_{\mathbf {z}} [|\tilde{y}_{tm}^{k}|^2] &= \sum \nolimits _{i=1}^4 \mathbb {E}_{\mathbf {z}} [|T_i|^2],\) 
